A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the populations and a mean of 7 and a standard deviation of 5 for the other population.(a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of ?̅ 1 − ?̅ 2 (b)Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Explain your answer (c)Can you conclude that the variable ?̅ 1 − ?̅ 2 is normally distributed? Explain your answer. 2. A variable of two populations has a mean of 8 and a standard deviation of 6 for one of thepopulations and a mean of 7 and a standard deviation of 5 for the other population.(a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of X 1-X2(b)Must the variable under consideration be normally distributed on each of the two populations foryou to answer part (a)? Explain your answer(c)Can you conclude that the variable X 1-X 2 is normally distributed? Explain your answer.

Name: A variable of two populations has a mean of 8 and a standard deviation
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Description: A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the populations and a mean of 7 and a standard deviation of 5 for the other population.(a)For independent samples of sizes 3 and 6, respectively, find the mean and

Introduction: The sampling distribution of the sample mean, X̄, based on a sample of size n, taken…

Answered: 2. A variable of two populations has a…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

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A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the populations and a mean of 7 and a standard deviation of 5 for the other population.

(a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of ?̅ 1 − ?̅ 2

(b)Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Explain your answer

(c)Can you conclude that the variable ?̅ 1 − ?̅ 2 is normally distributed? Explain your answer.

2. A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the
populations and a mean of 7 and a standard deviation of 5 for the other population.
(a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of X 1-
X2
(b)Must the variable under consideration be normally distributed on each of the two populations for
you to answer part (a)? Explain your answer
(c)Can you conclude that the variable X 1-X 2 is normally distributed? Explain your answer.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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